On the fundamental differences between the NT and the KM center of Sets Calculation Methods on the IT2-FLC performance

Ahmet Sakalli; Tufan Kumbasar

doi:10.1109/FUZZ-IEEE.2015.7337873

On the fundamental differences between the NT and the KM center of Sets Calculation Methods on the IT2-FLC performance

Ahmet Sakalli, Tufan Kumbasar

Department of Control and Automation Engineering

AVL List GmbH

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

7 Citations (Scopus)

Abstract

In this paper, we will present design methods for Single input IT2-FLCs (SIT2-FLCs) and we will introduce an online tuning mechanism to enhance their control system performance. The most important feature of the SIT2-FLC is the closed form output presentation which is defined in a two dimensional domain. Based on this structural information, we will present design methods for SIT2-FLCs composed of 3 rules to produce a Smooth SIT2-FLC (S-SIT2-FLC) and an Aggressive SIT2-FLC (A-SIT2-FLC) by only tuning a single parameter. It will be shown that the S-SIT2-FLC will result in a potentially more robust control performance in comparison A-SIT2-FLC. However, the transient state and disturbance rejection performance of the S-SIT2-FLC might degrade in comparison to the A-SIT2-FLC. This drawback will be solved by tuning the FOU size of the SIT2-FLCs to provide a trade-off between the robust control performance of the S-SIT2-FLC and the acceptable transient and disturbance rejection performance of the A-SIT2-FLC structure. Thus, we will present a Gradient-Descent (GD) based online tuning mechanism to enhance both the transient state and disturbance rejection performances of the SIT2-FLCs while preserving a certain degree of the robustness against nonlinearities and disturbances. We will present simulation results where the GD based SIT2-FLC (GD-SIT2-FLC) is compared with the S-SIT2-FLC and the A-SIT2-FLC structures. Moreover, we will compare the performance GD-SIT2-FLC with a robust self-tuning Type-1 (T1) FLC which has a fuzzy based tuning mechanism. The results will show that the GD-SIT2-FLC enhances both the transient state and disturbance rejection performances when compared to the IT2 and robust self-tuning T1 counterparts.

Original language	English
Title of host publication	FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems
Editors	Adnan Yazici, Nikhil R. Pal, Hisao Ishibuchi, Bulent Tutmez, Chin-Teng Lin, Joao M. C. Sousa, Uzay Kaymak, Trevor Martin
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781467374286
DOIs	https://doi.org/10.1109/FUZZ-IEEE.2015.7337873
Publication status	Published - 25 Nov 2015
Event	IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2015 - Istanbul, Turkey Duration: 2 Aug 2015 → 5 Aug 2015

Publication series

Name	IEEE International Conference on Fuzzy Systems
Volume	2015-November
ISSN (Print)	1098-7584

Conference

Conference	IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2015
Country/Territory	Turkey
City	Istanbul
Period	2/08/15 → 5/08/15

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

Keywords

Design Methods
Interval type-2 fuzzy logic controllers
Self-tuning controllers

Access to Document

10.1109/FUZZ-IEEE.2015.7337873

Cite this

Sakalli, A., & Kumbasar, T. (2015). On the fundamental differences between the NT and the KM center of Sets Calculation Methods on the IT2-FLC performance. In A. Yazici, N. R. Pal, H. Ishibuchi, B. Tutmez, C.-T. Lin, J. M. C. Sousa, U. Kaymak, & T. Martin (Eds.), FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems Article 7337873 (IEEE International Conference on Fuzzy Systems; Vol. 2015-November). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/FUZZ-IEEE.2015.7337873

Sakalli, Ahmet ; Kumbasar, Tufan. / On the fundamental differences between the NT and the KM center of Sets Calculation Methods on the IT2-FLC performance. FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems. editor / Adnan Yazici ; Nikhil R. Pal ; Hisao Ishibuchi ; Bulent Tutmez ; Chin-Teng Lin ; Joao M. C. Sousa ; Uzay Kaymak ; Trevor Martin. Institute of Electrical and Electronics Engineers Inc., 2015. (IEEE International Conference on Fuzzy Systems).

@inproceedings{57eca21d0b1440c4808f1bafc16f0b3f,

title = "On the fundamental differences between the NT and the KM center of Sets Calculation Methods on the IT2-FLC performance",

abstract = "In this paper, we will present design methods for Single input IT2-FLCs (SIT2-FLCs) and we will introduce an online tuning mechanism to enhance their control system performance. The most important feature of the SIT2-FLC is the closed form output presentation which is defined in a two dimensional domain. Based on this structural information, we will present design methods for SIT2-FLCs composed of 3 rules to produce a Smooth SIT2-FLC (S-SIT2-FLC) and an Aggressive SIT2-FLC (A-SIT2-FLC) by only tuning a single parameter. It will be shown that the S-SIT2-FLC will result in a potentially more robust control performance in comparison A-SIT2-FLC. However, the transient state and disturbance rejection performance of the S-SIT2-FLC might degrade in comparison to the A-SIT2-FLC. This drawback will be solved by tuning the FOU size of the SIT2-FLCs to provide a trade-off between the robust control performance of the S-SIT2-FLC and the acceptable transient and disturbance rejection performance of the A-SIT2-FLC structure. Thus, we will present a Gradient-Descent (GD) based online tuning mechanism to enhance both the transient state and disturbance rejection performances of the SIT2-FLCs while preserving a certain degree of the robustness against nonlinearities and disturbances. We will present simulation results where the GD based SIT2-FLC (GD-SIT2-FLC) is compared with the S-SIT2-FLC and the A-SIT2-FLC structures. Moreover, we will compare the performance GD-SIT2-FLC with a robust self-tuning Type-1 (T1) FLC which has a fuzzy based tuning mechanism. The results will show that the GD-SIT2-FLC enhances both the transient state and disturbance rejection performances when compared to the IT2 and robust self-tuning T1 counterparts.",

keywords = "Design Methods, Interval type-2 fuzzy logic controllers, Self-tuning controllers",

author = "Ahmet Sakalli and Tufan Kumbasar",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2015 ; Conference date: 02-08-2015 Through 05-08-2015",

year = "2015",

month = nov,

day = "25",

doi = "10.1109/FUZZ-IEEE.2015.7337873",

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Sakalli, A & Kumbasar, T 2015, On the fundamental differences between the NT and the KM center of Sets Calculation Methods on the IT2-FLC performance. in A Yazici, NR Pal, H Ishibuchi, B Tutmez, C-T Lin, JMC Sousa, U Kaymak & T Martin (eds), FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems., 7337873, IEEE International Conference on Fuzzy Systems, vol. 2015-November, Institute of Electrical and Electronics Engineers Inc., IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2015, Istanbul, Turkey, 2/08/15. https://doi.org/10.1109/FUZZ-IEEE.2015.7337873

On the fundamental differences between the NT and the KM center of Sets Calculation Methods on the IT2-FLC performance. / Sakalli, Ahmet; Kumbasar, Tufan.
FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems. ed. / Adnan Yazici; Nikhil R. Pal; Hisao Ishibuchi; Bulent Tutmez; Chin-Teng Lin; Joao M. C. Sousa; Uzay Kaymak; Trevor Martin. Institute of Electrical and Electronics Engineers Inc., 2015. 7337873 (IEEE International Conference on Fuzzy Systems; Vol. 2015-November).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - On the fundamental differences between the NT and the KM center of Sets Calculation Methods on the IT2-FLC performance

AU - Sakalli, Ahmet

AU - Kumbasar, Tufan

PY - 2015/11/25

Y1 - 2015/11/25

N2 - In this paper, we will present design methods for Single input IT2-FLCs (SIT2-FLCs) and we will introduce an online tuning mechanism to enhance their control system performance. The most important feature of the SIT2-FLC is the closed form output presentation which is defined in a two dimensional domain. Based on this structural information, we will present design methods for SIT2-FLCs composed of 3 rules to produce a Smooth SIT2-FLC (S-SIT2-FLC) and an Aggressive SIT2-FLC (A-SIT2-FLC) by only tuning a single parameter. It will be shown that the S-SIT2-FLC will result in a potentially more robust control performance in comparison A-SIT2-FLC. However, the transient state and disturbance rejection performance of the S-SIT2-FLC might degrade in comparison to the A-SIT2-FLC. This drawback will be solved by tuning the FOU size of the SIT2-FLCs to provide a trade-off between the robust control performance of the S-SIT2-FLC and the acceptable transient and disturbance rejection performance of the A-SIT2-FLC structure. Thus, we will present a Gradient-Descent (GD) based online tuning mechanism to enhance both the transient state and disturbance rejection performances of the SIT2-FLCs while preserving a certain degree of the robustness against nonlinearities and disturbances. We will present simulation results where the GD based SIT2-FLC (GD-SIT2-FLC) is compared with the S-SIT2-FLC and the A-SIT2-FLC structures. Moreover, we will compare the performance GD-SIT2-FLC with a robust self-tuning Type-1 (T1) FLC which has a fuzzy based tuning mechanism. The results will show that the GD-SIT2-FLC enhances both the transient state and disturbance rejection performances when compared to the IT2 and robust self-tuning T1 counterparts.

AB - In this paper, we will present design methods for Single input IT2-FLCs (SIT2-FLCs) and we will introduce an online tuning mechanism to enhance their control system performance. The most important feature of the SIT2-FLC is the closed form output presentation which is defined in a two dimensional domain. Based on this structural information, we will present design methods for SIT2-FLCs composed of 3 rules to produce a Smooth SIT2-FLC (S-SIT2-FLC) and an Aggressive SIT2-FLC (A-SIT2-FLC) by only tuning a single parameter. It will be shown that the S-SIT2-FLC will result in a potentially more robust control performance in comparison A-SIT2-FLC. However, the transient state and disturbance rejection performance of the S-SIT2-FLC might degrade in comparison to the A-SIT2-FLC. This drawback will be solved by tuning the FOU size of the SIT2-FLCs to provide a trade-off between the robust control performance of the S-SIT2-FLC and the acceptable transient and disturbance rejection performance of the A-SIT2-FLC structure. Thus, we will present a Gradient-Descent (GD) based online tuning mechanism to enhance both the transient state and disturbance rejection performances of the SIT2-FLCs while preserving a certain degree of the robustness against nonlinearities and disturbances. We will present simulation results where the GD based SIT2-FLC (GD-SIT2-FLC) is compared with the S-SIT2-FLC and the A-SIT2-FLC structures. Moreover, we will compare the performance GD-SIT2-FLC with a robust self-tuning Type-1 (T1) FLC which has a fuzzy based tuning mechanism. The results will show that the GD-SIT2-FLC enhances both the transient state and disturbance rejection performances when compared to the IT2 and robust self-tuning T1 counterparts.

KW - Design Methods

KW - Interval type-2 fuzzy logic controllers

KW - Self-tuning controllers

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DO - 10.1109/FUZZ-IEEE.2015.7337873

M3 - Conference contribution

AN - SCOPUS:84975784500

T3 - IEEE International Conference on Fuzzy Systems

BT - FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems

A2 - Yazici, Adnan

A2 - Pal, Nikhil R.

A2 - Ishibuchi, Hisao

A2 - Tutmez, Bulent

A2 - Lin, Chin-Teng

A2 - Sousa, Joao M. C.

A2 - Kaymak, Uzay

A2 - Martin, Trevor

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2015

Y2 - 2 August 2015 through 5 August 2015

ER -

Sakalli A, Kumbasar T. On the fundamental differences between the NT and the KM center of Sets Calculation Methods on the IT2-FLC performance. In Yazici A, Pal NR, Ishibuchi H, Tutmez B, Lin CT, Sousa JMC, Kaymak U, Martin T, editors, FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems. Institute of Electrical and Electronics Engineers Inc. 2015. 7337873. (IEEE International Conference on Fuzzy Systems). doi: 10.1109/FUZZ-IEEE.2015.7337873

On the fundamental differences between the NT and the KM center of Sets Calculation Methods on the IT2-FLC performance

Abstract

Publication series

Conference

Bibliographical note

Keywords

Access to Document

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